From Anderson Localization to Mesoscopic Physics

Details From Anderson Localization to Mesoscopic Physics From Anderson Localization to Mesoscopic Physics

2010-02-11

arxiv.org/abs/1002.2342v2

International Journal of Modern Physics B 24, 1555 (2010)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

21 pages, 5 figures

Scientific paper

10.1142/S0217979210064514

In the late seventies an increasing interest in the scaling theory of Anderson localization led to new efforts to understand the conductance of systems which scatter electrons elastically. The conductance and its relation to the scattering matrix emerged as an important subject. This, coupled with the desire to find explicit manifestations of single electron interference led to the emergence of mesoscopic physics. We review electron transport phenomena which can be expressed elegantly in terms of the scattering matrix. Of particular interest are phenomena which depend not only on transmission probabilities but on both amplitude and phase of scattering matrix elements.

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